Bøger udgivet af Mathematical Association of America

Offers a celebration of mathematical problem solving at the level of the high school American Invitational Mathematics Examination. It is intended, in part, as a resource for comprehensive study and practice for the AIME competition for students, teachers, and mentors. However, this book is also intended for anyone who enjoys solving problems as a recreational pursuit.

This book is the second volume based on lectures for pre-college students given by prominent mathematicians in the Bay Area Mathematical Adventures (BAMA). The topics cover a wide range of mathematical subjects each treated by a leading proponent of the subject at levels designed to challenge and attract students whose mathematical interests are just beginning.

The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO), have been published annually since 1976. This is the fourth volume in that series. The IMO is a world mathematics competition for high school students that takes place each year in a different country.

The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO), have been published annually by the MAA American Mathematics Competitions since 1976. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics.

This is the third volume of problems that cover the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO) to be published by the MAA in its Problem Book series.

Through the mid-nineteenth century, most American colleges followed a classical curriculum that, in mathematics, rarely reached beyond calculus. With no doctoral programs of any sort in the United States until 1860, mathematical scholarship lagged far behind that in Europe. After the Civil War, visionary presidents at Harvard and Johns Hopkins broadened and deepened the opportunities for study.

A guide to more effective mathematical education, offering topics and puzzles to inspire a renewed interest in mathematics among students.

Dealing with optical phenomena near the horizon, this book is intended for all levels, including teachers, students and researchers.

Ideal for graduates and researchers, this book covers the theory of Tikhonov regularization for linear inverse problems defined on Hilbert spaces.

An elementary guide to the world of prime numbers, infinite sequences, infinite products and functions behind the famous Riemann hypothesis.

Combining the features of a textbook with those of a problem workbook, this text presents a natural, friendly way to learn some of the essential ideas of graph theory, with 360 strategically placed exercises and 280 additional homework problems to encourage reader involvement and engagement.

An introduction to Euclidean and hyperbolic geometry in the plane, this book is designed for an undergraduate course in geometry, but will also be a stimulating read for anyone comfortable with the language of mathematical proof. The text is extensively illustrated and brings together topics not typically found together.

Using the Daniell-Riesz approach, this text presents the Lebesgue integral to an audience familiar only with limits, derivatives and series. Employing such minimal prerequisites allows for increased curricular flexibility for course instructors, and provides undergraduates with a gateway to the modern mathematics of functions at an early stage.

Targeting talented students who seek a deeper understanding of calculus and its applications, this book contains enrichment material for undergraduate courses in calculus, differential equations, and modelling. The friendly presentation maintains rigour whilst avoiding epsilons and deltas. Topics are chosen for intrinsic interest, historical influence, and continuing importance.

By using everyday language and popular characters, this unorthodox textbook explains arithmetic in an accessible way to benefit budding teachers.

Designed to aid teachers and students, Nelsen guides his readers through fifty short visual enhancements to the first-year calculus course.

What do mathematicians think of themselves, and what do others think of them? A large and diverse group of mathematicians and mathematical people were assembled to offer their views on these matters. These contributions represent a vast array of perspectives on the psychology of the mathematician.

This book is written as both a stepping stone to higher calculus and analysis courses, and as a foundation for deeper reasoning in applied mathematics. As well as a rigorous account of sequences, series, functions and sets, the reader will also find fascinating historical material and over 600 exercises.

C. Edward Sandifer, one of the world's leading Euler scholars, presents another collection of his 'How Euler Did It' columns. Each is a jewel of historical and mathematical exposition that will leave the reader marveling at Euler's inventiveness.

Designed for undergraduate students and lecturers, this text guides its users to develop the skills, and habits of a mathematician. Using exercises and theorems on the subject of graphs, groups, and calculus, its users will discover mathematical ideas, and understand the process of mathematical creativity and development.

Designed for prospective and practising mathematics teachers, this book makes explicit connections between the ideas of abstract algebra and the mathematics taught at high-school level. Algebraic concepts are presented in historical order, with focus on number theory, polynomials, and commutative rings and groups.

This book presents techniques for proving a variety of mathematical results in three-dimensional Euclidean space, the field traditionally known as solid geometry. The text is aimed at secondary school and college and university teachers as an introduction to solid geometry, or in a mathematics course for liberal arts students.

A treatment of polynomial equations that is designed for self-study and will enrich algebra courses at the high-school level and above. The author goes beyond the familiar quadratic formula to cover cubic and quartic equations, complete with lively historical notes and an informal discussion of Galois theory.

Misfortune struck five-year-old Larry Baggett when he was blinded following an accident. This memoir describes his life as a blind person living and learning in the sighted world, an internationally renowned research mathematician and a successful university professor.

A beautifully illustrated collection of striking and original results in geometry. Recommended for students and teachers of geometry and calculus.

A collection of problems from the William Lowell Putnam Competition which places them in the context of important mathematical themes.

A colourful introduction to classical analysis, complete with problems from past mathematics competitions, for undergraduate mathematics students.

Classic text on graph theory, brought up to date by Robin Wilson, himself a best-selling maths author.

Teaching resources for use with courses on fractal geometry, lecturers and interested readers.

Undergraduate level problems with solutions and commentary on links with contemporary research.